Abstract

We present arithmetical property concerning with hypergeometric function of Gauss which will be useful to obtain Diophantine approximations of the values of the function. As is seen in [2], in quantitative theory of linear forms in logarithms, not only exponential function but also logarithmic function is directly used to construct auxiliary functions. We revisit the fact that the values of Gauss' hypergeometric function are viewed as values of abelian logarithmic function. We give here a related estimate for such functions.